0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KPbsGddrYU true 0.17/0.38 % Computer : n013.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 05:44:02 EDT 2023 0.17/0.38 % CPUTime : 0.17/0.38 % Running portfolio for 1440 s 0.17/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.38 % Number of cores: 8 0.17/0.38 % Python version: Python 3.6.8 0.24/0.38 % Running in HO mode 0.60/0.70 % Total configuration time : 828 0.60/0.70 % Estimated wc time : 1656 0.60/0.70 % Estimated cpu time (8 cpus) : 207.0 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.61/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.61/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.62/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 25.39/3.93 % Solved by lams/15_e_short1.sh. 25.39/3.93 % done 55 iterations in 3.099s 25.39/3.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 25.39/3.93 % SZS output start Refutation 25.39/3.93 thf(term_type, type, term: $tType). 25.39/3.93 thf(subst_type, type, subst: $tType). 25.39/3.93 thf(hoasinduction_lem3a_type, type, hoasinduction_lem3a: $o). 25.39/3.93 thf(lam_type, type, lam: term > term). 25.39/3.93 thf(hoasinduction_lem3aa_type, type, hoasinduction_lem3aa: $o). 25.39/3.93 thf(push_type, type, push: term > subst > subst). 25.39/3.93 thf(one_type, type, one: term). 25.39/3.93 thf(id_type, type, id: subst). 25.39/3.93 thf(comp_type, type, comp: subst > subst > subst). 25.39/3.93 thf(axvarid_type, type, axvarid: $o). 25.39/3.93 thf(axvarshift_type, type, axvarshift: $o). 25.39/3.93 thf(sh_type, type, sh: subst). 25.39/3.93 thf(hoasinduction_lem3a_lthm_type, type, hoasinduction_lem3a_lthm: $o). 25.39/3.93 thf(sub_type, type, sub: term > subst > term). 25.39/3.93 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term). 25.39/3.93 thf(hoasinduction_lem3a_lthm, axiom, hoasinduction_lem3a_lthm = 25.39/3.93 (( axvarid ) => 25.39/3.93 ( ( axvarshift ) => 25.39/3.93 ( ( hoasinduction_lem3aa ) => ( hoasinduction_lem3a ) ) ))). 25.39/3.93 thf('0', plain, 25.39/3.93 (( hoasinduction_lem3a_lthm ) = 25.39/3.93 ( ( axvarid ) => 25.39/3.93 ( ( axvarshift ) => 25.39/3.93 ( ( hoasinduction_lem3aa ) => ( hoasinduction_lem3a ) ) ) )), 25.39/3.93 define([status(thm)])). 25.39/3.93 thf(hoasinduction_lem3a, axiom, hoasinduction_lem3a = 25.39/3.93 (![P:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![F:( subst > term > term )]: 25.39/3.93 ( ( ![M:subst,A:term,N:subst]: 25.39/3.93 ( ( sub @ ( F @ M @ A ) @ N ) = 25.39/3.93 ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 25.39/3.93 ( ( ![A:term]: 25.39/3.93 ( ( P @ id @ A @ id ) => ( P @ id @ ( F @ id @ A ) @ id ) ) ) => 25.39/3.93 ( P @ 25.39/3.93 id @ ( hoaslam @ id @ ( ^[M:subst,A:term]: ( F @ M @ A ) ) ) @ 25.39/3.93 id ) ) ) ) => 25.39/3.93 ( ![A:term]: 25.39/3.93 ( ( ![B:term]: 25.39/3.93 ( ( P @ id @ B @ id ) => 25.39/3.93 ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) ) ) => 25.39/3.93 ( P @ id @ ( lam @ A ) @ id ) ) ) ))). 25.39/3.93 thf('1', plain, 25.39/3.93 (( hoasinduction_lem3a ) = 25.39/3.93 ( ![X4:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![X6:( subst > term > term )]: 25.39/3.93 ( ( ![X8:subst,X10:term,X12:subst]: 25.39/3.93 ( ( sub @ ( X6 @ X8 @ X10 ) @ X12 ) = 25.39/3.93 ( X6 @ ( comp @ X8 @ X12 ) @ ( sub @ X10 @ X12 ) ) ) ) => 25.39/3.93 ( ( ![X14:term]: 25.39/3.93 ( ( X4 @ id @ X14 @ id ) => 25.39/3.93 ( X4 @ id @ ( X6 @ id @ X14 ) @ id ) ) ) => 25.39/3.93 ( X4 @ 25.39/3.93 id @ 25.39/3.93 ( hoaslam @ 25.39/3.93 id @ ( ^[V_1:subst,V_2:term]: ( X6 @ V_1 @ V_2 ) ) ) @ 25.39/3.93 id ) ) ) ) => 25.39/3.93 ( ![X16:term]: 25.39/3.93 ( ( ![X18:term]: 25.39/3.93 ( ( X4 @ id @ X18 @ id ) => 25.39/3.93 ( X4 @ id @ ( sub @ X16 @ ( push @ X18 @ id ) ) @ id ) ) ) => 25.39/3.93 ( X4 @ id @ ( lam @ X16 ) @ id ) ) ) ) )), 25.39/3.93 define([status(thm)])). 25.39/3.93 thf(hoasinduction_lem3aa, axiom, hoasinduction_lem3aa = 25.39/3.93 (![P:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![F:( subst > term > term )]: 25.39/3.93 ( ( ![M:subst,A:term,N:subst]: 25.39/3.93 ( ( sub @ ( F @ M @ A ) @ N ) = 25.39/3.93 ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 25.39/3.93 ( ( ![A:term]: 25.39/3.93 ( ( P @ id @ A @ id ) => ( P @ id @ ( F @ id @ A ) @ id ) ) ) => 25.39/3.93 ( P @ 25.39/3.93 id @ ( hoaslam @ id @ ( ^[M:subst,A:term]: ( F @ M @ A ) ) ) @ 25.39/3.93 id ) ) ) ) => 25.39/3.93 ( ![A:term]: 25.39/3.93 ( ( ![B:term]: 25.39/3.93 ( ( P @ id @ B @ id ) => 25.39/3.93 ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) ) ) => 25.39/3.93 ( P @ id @ ( lam @ ( sub @ A @ ( push @ one @ sh ) ) ) @ id ) ) ) ))). 25.39/3.93 thf('2', plain, 25.39/3.93 (( hoasinduction_lem3aa ) = 25.39/3.93 ( ![X4:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![X6:( subst > term > term )]: 25.39/3.93 ( ( ![X8:subst,X10:term,X12:subst]: 25.39/3.93 ( ( sub @ ( X6 @ X8 @ X10 ) @ X12 ) = 25.39/3.93 ( X6 @ ( comp @ X8 @ X12 ) @ ( sub @ X10 @ X12 ) ) ) ) => 25.39/3.93 ( ( ![X14:term]: 25.39/3.93 ( ( X4 @ id @ X14 @ id ) => 25.39/3.93 ( X4 @ id @ ( X6 @ id @ X14 ) @ id ) ) ) => 25.39/3.93 ( X4 @ 25.39/3.93 id @ 25.39/3.93 ( hoaslam @ 25.39/3.93 id @ ( ^[V_1:subst,V_2:term]: ( X6 @ V_1 @ V_2 ) ) ) @ 25.39/3.93 id ) ) ) ) => 25.39/3.93 ( ![X16:term]: 25.39/3.93 ( ( ![X18:term]: 25.39/3.93 ( ( X4 @ id @ X18 @ id ) => 25.39/3.93 ( X4 @ id @ ( sub @ X16 @ ( push @ X18 @ id ) ) @ id ) ) ) => 25.39/3.93 ( X4 @ id @ ( lam @ ( sub @ X16 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) )), 25.39/3.93 define([status(thm)])). 25.39/3.93 thf(hoaslam, axiom,(( hoaslam ) = 25.39/3.93 (^[M:subst,F:( subst > term > term )]: ( lam @ ( F @ sh @ one ) )))). 25.39/3.93 thf('3', plain, 25.39/3.93 (( hoaslam ) = 25.39/3.93 ( ^[M:subst,F:( subst > term > term )]: ( lam @ ( F @ sh @ one ) ) )), 25.39/3.93 inference('simplify_rw_rule', [status(thm)], [hoaslam])). 25.39/3.93 thf('4', plain, 25.39/3.93 (( hoaslam ) = 25.39/3.93 ( ^[V_1:subst,V_2:( subst > term > term )]: ( lam @ ( V_2 @ sh @ one ) ) )), 25.39/3.93 define([status(thm)])). 25.39/3.93 thf(axvarshift, axiom, axvarshift = (( push @ one @ sh ) = ( id ))). 25.39/3.93 thf('5', plain, (( axvarshift ) = ( ( push @ one @ sh ) = ( id ) )), 25.39/3.93 define([status(thm)])). 25.39/3.93 thf(axvarid, axiom, axvarid = (![A:term]: ( ( sub @ A @ id ) = ( A ) ))). 25.39/3.93 thf('6', plain, 25.39/3.93 (( axvarid ) = ( ![X4:term]: ( ( sub @ X4 @ id ) = ( X4 ) ) )), 25.39/3.93 define([status(thm)])).thf(thm, conjecture, (hoasinduction_lem3a_lthm)). 25.39/3.93 thf(zf_stmt_0, conjecture, 25.39/3.93 (( ![X4:term]: ( ( sub @ X4 @ id ) = ( X4 ) ) ) => 25.39/3.93 ( ( ( push @ one @ sh ) = ( id ) ) => 25.39/3.93 ( ( ![X6:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![X8:( subst > term > term )]: 25.39/3.93 ( ( ![X10:subst,X12:term,X14:subst]: 25.39/3.93 ( ( sub @ ( X8 @ X10 @ X12 ) @ X14 ) = 25.39/3.93 ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) ) ) => 25.39/3.93 ( ( ![X16:term]: 25.39/3.93 ( ( X6 @ id @ X16 @ id ) => 25.39/3.93 ( X6 @ id @ ( X8 @ id @ X16 ) @ id ) ) ) => 25.39/3.93 ( X6 @ id @ ( lam @ ( X8 @ sh @ one ) ) @ id ) ) ) ) => 25.39/3.93 ( ![X18:term]: 25.39/3.93 ( ( ![X20:term]: 25.39/3.93 ( ( X6 @ id @ X20 @ id ) => 25.39/3.93 ( X6 @ id @ ( sub @ X18 @ ( push @ X20 @ id ) ) @ id ) ) ) => 25.39/3.93 ( X6 @ id @ ( lam @ ( sub @ X18 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) => 25.39/3.93 ( ![X22:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![X24:( subst > term > term )]: 25.39/3.93 ( ( ![X26:subst,X28:term,X30:subst]: 25.39/3.93 ( ( sub @ ( X24 @ X26 @ X28 ) @ X30 ) = 25.39/3.93 ( X24 @ ( comp @ X26 @ X30 ) @ ( sub @ X28 @ X30 ) ) ) ) => 25.39/3.93 ( ( ![X32:term]: 25.39/3.93 ( ( X22 @ id @ X32 @ id ) => 25.39/3.93 ( X22 @ id @ ( X24 @ id @ X32 ) @ id ) ) ) => 25.39/3.93 ( X22 @ id @ ( lam @ ( X24 @ sh @ one ) ) @ id ) ) ) ) => 25.39/3.93 ( ![X34:term]: 25.39/3.93 ( ( ![X36:term]: 25.39/3.93 ( ( X22 @ id @ X36 @ id ) => 25.39/3.93 ( X22 @ id @ ( sub @ X34 @ ( push @ X36 @ id ) ) @ id ) ) ) => 25.39/3.93 ( X22 @ id @ ( lam @ X34 ) @ id ) ) ) ) ) ) ))). 25.39/3.93 thf(zf_stmt_1, negated_conjecture, 25.39/3.93 (~( ( ![X4:term]: ( ( sub @ X4 @ id ) = ( X4 ) ) ) => 25.39/3.93 ( ( ( push @ one @ sh ) = ( id ) ) => 25.39/3.93 ( ( ![X6:( subst > term > subst > $o )]: 25.39/3.93 ( ( ![X8:( subst > term > term )]: 25.39/3.93 ( ( ![X10:subst,X12:term,X14:subst]: 25.99/3.93 ( ( sub @ ( X8 @ X10 @ X12 ) @ X14 ) = 25.99/3.93 ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) ) ) => 25.99/3.93 ( ( ![X16:term]: 25.99/3.93 ( ( X6 @ id @ X16 @ id ) => 25.99/3.93 ( X6 @ id @ ( X8 @ id @ X16 ) @ id ) ) ) => 25.99/3.93 ( X6 @ id @ ( lam @ ( X8 @ sh @ one ) ) @ id ) ) ) ) => 25.99/3.93 ( ![X18:term]: 25.99/3.93 ( ( ![X20:term]: 25.99/3.93 ( ( X6 @ id @ X20 @ id ) => 25.99/3.93 ( X6 @ id @ ( sub @ X18 @ ( push @ X20 @ id ) ) @ id ) ) ) => 25.99/3.93 ( X6 @ 25.99/3.93 id @ ( lam @ ( sub @ X18 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) => 25.99/3.93 ( ![X22:( subst > term > subst > $o )]: 25.99/3.93 ( ( ![X24:( subst > term > term )]: 25.99/3.93 ( ( ![X26:subst,X28:term,X30:subst]: 25.99/3.93 ( ( sub @ ( X24 @ X26 @ X28 ) @ X30 ) = 25.99/3.93 ( X24 @ ( comp @ X26 @ X30 ) @ ( sub @ X28 @ X30 ) ) ) ) => 25.99/3.93 ( ( ![X32:term]: 25.99/3.93 ( ( X22 @ id @ X32 @ id ) => 25.99/3.93 ( X22 @ id @ ( X24 @ id @ X32 ) @ id ) ) ) => 25.99/3.93 ( X22 @ id @ ( lam @ ( X24 @ sh @ one ) ) @ id ) ) ) ) => 25.99/3.93 ( ![X34:term]: 25.99/3.93 ( ( ![X36:term]: 25.99/3.93 ( ( X22 @ id @ X36 @ id ) => 25.99/3.93 ( X22 @ id @ ( sub @ X34 @ ( push @ X36 @ id ) ) @ id ) ) ) => 25.99/3.93 ( X22 @ id @ ( lam @ X34 ) @ id ) ) ) ) ) ) ) )), 25.99/3.93 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 25.99/3.93 thf(zip_derived_cl0, plain, 25.99/3.93 (~ (((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) => 25.99/3.93 (((((push @ one @ sh) = (id))) => 25.99/3.93 (((((!!) @ (^[Y0 : subst > term > subst > $o]: 25.99/3.93 (((((!!) @ (^[Y1 : subst > term > term]: 25.99/3.93 (((((!!) @ (^[Y2 : subst]: 25.99/3.93 (((!!) @ (^[Y3 : term]: 25.99/3.93 (((!!) @ ( 25.99/3.93 ^[Y4 : subst]: 25.99/3.93 (( 25.99/3.93 (sub @ 25.99/3.93 ( 25.99/3.93 Y1 @ 25.99/3.93 Y2 @ Y3) @ 25.99/3.93 Y4) = 25.99/3.93 (Y1 @ 25.99/3.93 ( 25.99/3.93 comp @ 25.99/3.93 Y2 @ Y4) @ 25.99/3.93 ( 25.99/3.93 sub @ 25.99/3.93 Y3 @ Y4))))))))))))) => 25.99/3.93 (((((!!) @ (^[Y2 : term]: 25.99/3.93 (((Y0 @ id @ Y2 @ 25.99/3.93 id) => (Y0 @ id @ 25.99/3.93 (Y1 @ id @ Y2) @ id)))))) => 25.99/3.93 (Y0 @ id @ 25.99/3.93 (lam @ (Y1 @ sh @ one)) @ id)))))))) => 25.99/3.93 (((!!) @ (^[Y1 : term]: 25.99/3.93 (((((!!) @ (^[Y2 : term]: 25.99/3.93 (((Y0 @ id @ Y2 @ id) => 25.99/3.93 (Y0 @ id @ 25.99/3.93 (sub @ Y1 @ 25.99/3.93 (push @ Y2 @ id)) @ 25.99/3.93 id)))))) => 25.99/3.93 (Y0 @ id @ 25.99/3.93 (lam @ 25.99/3.93 (sub @ Y1 @ (push @ one @ sh))) @ 25.99/3.93 id))))))))))) => 25.99/3.93 (((!!) @ (^[Y0 : subst > term > subst > $o]: 25.99/3.93 (((((!!) @ (^[Y1 : subst > term > term]: 25.99/3.93 (((((!!) @ (^[Y2 : subst]: 25.99/3.93 (((!!) @ (^[Y3 : term]: 25.99/3.93 (((!!) @ ( 25.99/3.93 ^[Y4 : subst]: 25.99/3.93 (( 25.99/3.93 (sub @ 25.99/3.93 ( 25.99/3.93 Y1 @ 25.99/3.93 Y2 @ Y3) @ 25.99/3.93 Y4) = 25.99/3.93 (Y1 @ 25.99/3.93 ( 25.99/3.93 comp @ 25.99/3.93 Y2 @ Y4) @ 25.99/3.93 ( 25.99/3.93 sub @ 25.99/3.93 Y3 @ Y4))))))))))))) => 25.99/3.93 (((((!!) @ (^[Y2 : term]: 25.99/3.93 (((Y0 @ id @ Y2 @ 25.99/3.93 id) => (Y0 @ id @ 25.99/3.93 (Y1 @ id @ Y2) @ id)))))) => 25.99/3.93 (Y0 @ id @ 25.99/3.93 (lam @ (Y1 @ sh @ one)) @ id)))))))) => 25.99/3.93 (((!!) @ (^[Y1 : term]: 25.99/3.93 (((((!!) @ (^[Y2 : term]: 25.99/3.93 (((Y0 @ id @ Y2 @ id) => 25.99/3.93 (Y0 @ id @ 25.99/3.93 (sub @ Y1 @ 25.99/3.93 (push @ Y2 @ id)) @ 25.99/3.93 id)))))) => 25.99/3.93 (Y0 @ id @ (lam @ Y1) @ id)))))))))))))))))), 25.99/3.93 inference('cnf', [status(esa)], [zf_stmt_1])). 25.99/3.93 thf(zip_derived_cl2257, plain, ($false), 25.99/3.93 inference('eprover', [status(thm)], [zip_derived_cl0])). 25.99/3.93 25.99/3.93 % SZS output end Refutation 25.99/3.93 25.99/3.93 25.99/3.93 % Terminating... 26.35/4.03 % Runner terminated. 26.35/4.04 % Zipperpin 1.5 exiting 26.35/4.04 EOF